Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![I. Find the Indicated derivative.
1. y'; given r'+y' =8
2. y; given (x-y)-2x
3. Find an equation for the tangent line to the graph of x+sin(y-2.x) =1 at point (1,2).
4. y": given 4= 3x -4y. Select the best answer from the choices below. Encircle the
letter of your choice.
12, -9x
16y
-54x* + 96y* +288xy
27x- 108xy+ 144xy- 64y
A) y"=
B) y" -
C) y" =
-72x +96xy + 128y
D) y" =27 – 108ry+ 144xy* – 64y
5. y'; given 4x=-3x'y-5x'y' +2. Select the best answer from the choices below.
Encircle the letter of your choice.
4x
A) y' =
-3xy-5x+2
-6ay - 10xy - 4
-3xy- Sxy+2
B) y'=-
6xy + 10xy +4
C) y'=
-3x- 10xy
3x + 10xy
-6xy - 10 - 4
D) y-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff20d17f8-0aed-434b-91ce-6756409692d4%2F63fb82d1-a977-4310-94af-7131ec9f3903%2Fhrb52y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:I. Find the Indicated derivative.
1. y'; given r'+y' =8
2. y; given (x-y)-2x
3. Find an equation for the tangent line to the graph of x+sin(y-2.x) =1 at point (1,2).
4. y": given 4= 3x -4y. Select the best answer from the choices below. Encircle the
letter of your choice.
12, -9x
16y
-54x* + 96y* +288xy
27x- 108xy+ 144xy- 64y
A) y"=
B) y" -
C) y" =
-72x +96xy + 128y
D) y" =27 – 108ry+ 144xy* – 64y
5. y'; given 4x=-3x'y-5x'y' +2. Select the best answer from the choices below.
Encircle the letter of your choice.
4x
A) y' =
-3xy-5x+2
-6ay - 10xy - 4
-3xy- Sxy+2
B) y'=-
6xy + 10xy +4
C) y'=
-3x- 10xy
3x + 10xy
-6xy - 10 - 4
D) y-
![1. Find the slope of the curve at the given point.
at (3,2)
x'3
2. Find the slope of the curve
2y* +2y- x-2=0 , at its point of intersection with the line x=2y.
3. Find the coordinates of the points on the curve y=x (x' +2x -2) where the tangent is
parallel to x-axis.
4. Find the equation of the tangent and normal to the curve at the point indicated.
y=x(x-1)', at x=2
5. Find the cquation of the tangent to the curve ya'=8 perpendicular to the line x-2y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff20d17f8-0aed-434b-91ce-6756409692d4%2F63fb82d1-a977-4310-94af-7131ec9f3903%2Fxj3xegp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Find the slope of the curve at the given point.
at (3,2)
x'3
2. Find the slope of the curve
2y* +2y- x-2=0 , at its point of intersection with the line x=2y.
3. Find the coordinates of the points on the curve y=x (x' +2x -2) where the tangent is
parallel to x-axis.
4. Find the equation of the tangent and normal to the curve at the point indicated.
y=x(x-1)', at x=2
5. Find the cquation of the tangent to the curve ya'=8 perpendicular to the line x-2y
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